Risa had a sum of money. She spent $99 on a sweater and 37 of the remainder on a shirt. She was left with 14 of the original sum of money.
- What was the total amount Risa spent?
- How much money did Risa have at first?
| Sweater |
Remaining amount |
| |
Shirt |
Left |
| $99 |
3 |
4 |
3x4 =
12 u |
1x4 =
4 u |
| 9 u |
3 u |
4 u |
(a)
Fraction of the remaining amount left
= 1 -
37=
47The amount left is repeated.
Make the numerators the same. LCM of 4 and 1 is 4.
47 Remaining amount =
14 Total amount
4x17x1 Remaining amount =
1x44x4 Total amount
47 Remaining amount =
416 Total amount
Amount that Risa spent on the sweater
= 12 u - 3 u
= 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Total amount that Risa spent
= 9 u + 3 u
= 12 u
= 12 x 11
= $132
(b)
Total amount that Risa had at first
= 16 u
= 16 x 11
= $176
Answer(s): (a) $132; (b) $176
